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Finding the Fourth Proportional to 53,840.80, 80,717.04 and 24,249.76

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Solution

The fourth proportional to 53,840.80, 80,717.04 and 24,249.76 is: 36,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840.80 : 80,717.04 = 24,249.76 : x
  2. Step 2: Convert to fraction form
    53,840.80/80,717.04 = 24,249.76/x
  3. Step 3: Cross multiply
    53,840.80x = 80,717.04 × 24,249.76
  4. Step 4: Simplify right side
    53,840.80x = 1,957,368,847.91
  5. Step 5: Solve for x
    x = 1,957,368,847.91/53,840.80
  6. Step 6: Final answer
    x = 36,354.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.